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points a and b are midpoints of the sides of triangle qrs. what is sa? …

Question

points a and b are midpoints of the sides of triangle qrs. what is sa? 4 m 2 m 6 m 3 m

Explanation:

Step1: Identify A as midpoint

Since A is a midpoint of QS, QA = SA.

Step2: Find QS length (implied by QA)

Given QA = 4 m, so SA = QA = 4 m? Wait, no—wait, the diagram: Q to A is 4 m, so A to S should be equal? Wait, no, midpoint: if A is midpoint, then QA = SA. Wait, the segment QS: Q to A is 4 m, so A to S is also 4 m? Wait, but let's check the triangle. Wait, the problem says A and B are midpoints. So by midline theorem, but for SA: since A is midpoint of QS, then QA = SA. From the diagram, QA is 4 m, so SA is 4 m? Wait, no, wait the options: 4m, 2m, 6m, 3m. Wait, maybe I misread. Wait, Q to A is 4 m, so A to S is also 4 m? So SA = 4 m.

Wait, let's re-express: Points A and B are midpoints. So in triangle QRS, A is midpoint of QS, B is midpoint of RS. So by midline theorem, AB is parallel to QR and AB = 1/2 QR. But for SA: since A is midpoint, QA = SA. So if QA is 4 m, then SA is 4 m. So the answer is 4 m.

Answer:

4 m